90940392576 has 640 divisors, whose sum is σ = 316741138560. Its totient is φ = 25619742720.

The previous prime is 90940392551. The next prime is 90940392601. The reversal of 90940392576 is 67529304909.

It is an interprime number because it is at equal distance from previous prime (90940392551) and next prime (90940392601).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97054380 + ... + 97055316.

It is an arithmetic number, because the mean of its divisors is an integer number (494908029).

Almost surely, 2^90940392576 is an apocalyptic number.

90940392576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90940392576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158370569280).

90940392576 is an abundant number, since it is smaller than the sum of its proper divisors (225800745984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90940392576 is a wasteful number, since it uses less digits than its factorization.

90940392576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 90940392576 in words is "ninety billion, nine hundred forty million, three hundred ninety-two thousand, five hundred seventy-six".